Parallelograms Inscribed in Convex Quadrangles,
Forum Geometricorum, 18 (2018) 203--218.
Abstract. In this article we construct the inscription in a quadrangle of a parallelogram similar to a given one and we study
the parallelograms inscribed in quadrangles with special emphasis on determining the classes of quadrangles which
allow the inscription of infinite many parallelograms of a given similarity type. As special cases we obtain the
characterization of quadrangles allowing the inscription of infinite many rhombi of a fixed similarity type,
of infinite many rectangles of a fixed similarity type and of quadrangles allowing the inscription of infinite
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